Pith Number

pith:LCTIUTZ5

pith:2012:LCTIUTZ5FGA2NKKFFWVPRR57RW

not attested not anchored not stored refs pending

Bat Algorithm: A Novel Approach for Global Engineering Optimization

Amir H. Gandomi, Xin-She Yang

arxiv:1211.6663 v1 · 2012-11-28 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCTIUTZ5FGA2NKKFFWVPRR57RW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:39:44.083030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a68a4f3d2981a6a9452daaf8c7bf8d96907a9dc09a532029b86def6214a620

Aliases

arxiv: 1211.6663 · arxiv_version: 1211.6663v1 · doi: 10.48550/arxiv.1211.6663 · pith_short_12: LCTIUTZ5FGA2 · pith_short_16: LCTIUTZ5FGA2NKKF · pith_short_8: LCTIUTZ5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LCTIUTZ5FGA2NKKFFWVPRR57RW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 58a68a4f3d2981a6a9452daaf8c7bf8d96907a9dc09a532029b86def6214a620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca692ba75ccb615b7bb5ef52f5e894269b98f4647fc88051cfe13d2f346f020c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-28T17:09:39Z",
    "title_canon_sha256": "37a7c2d774aff6fe5547c34738dd3d85829b7a55141866c20355c5d877b56f07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6663",
    "kind": "arxiv",
    "version": 1
  }
}